Fluffy clouds XD - pressure n height

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Puffy cumulus clouds form at lower altitudes, while wispy cirrus clouds, composed of ice crystals, occur at higher altitudes. The temperature at altitudes below 11 km can be calculated using the formula T = To - Alpha*y, where To is 24.0 degrees Celsius and Alpha is 6.00/1000m. To determine the altitude where only cirrus clouds can form, the temperature must reach 0 degrees Celsius. The calculation indicates that cirrus clouds begin to form at approximately 4 km above sea level. This highlights the relationship between altitude, temperature, and cloud formation.
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Homework Statement



Puffy cumulus clouds, which are made of water droplets, occur at lower altitudes in the atmosphere. Wispy cirrus clouds, which are made of ice crystals, occur only at higher altitudes. On a typical day and at altitudes less than 11km
the temperature at an altitude y, can be given by T = To - Alpha*y
where To = 24.0 degrees celcius and Alpha = (6.00/1000m)

Find the altitude y(measured from sea level) above which only one cirrus clouds can occur

express your answer numberically in kilometers, using three significant figures.



Homework Equations



the ones above



The Attempt at a Solution



No idea really how to approach the problem
but i know it includes phase transition?
anyone care for a good ol explanation? XD cheers
 
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should i use the law of an ideal gas?
 
Bah didn't read the question properly, it was bloody easy

it says the the cirrus clouds are made of ice crystals so i assumed the temperature was
0 degrees celcius

solving with the formula given i got 4000m or 4km high up is where cirrus clouds form
 

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